Spherically symmetric solutions in Über-gravity

In this paper, we introduce ubergravity based on the idea of the ensemble average theory of f (R) gravity models. This model has interesting properties including its universality. Another property of this model is its curvature dependency: In high curvatures, ubergravity is reduced to standard Einstein-Hilbert action, while in low curvatures, it vanishes. This transition happens at a scale of R0. It is possible to show that this dimensionful scale plays the role of the cosmological constant at late times. To consider the behavior of the non-linear structure formation, we need to start with the spherical collapse; hence, here we study the spherically symmetric solutions. We show that the radius dependency of these solutions is totally different from the Schwarzchild solution. Interestingly, the solutions looks like the Reissner-Nordstrom in the absence of any electrical charge.